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The faster that a particular machine is forced to go, the more likely it is to break down. Suppose that each day is an independent

The faster that a particular machine is forced to go, the more likely it is to break down. Suppose that each day is an independent trial, and by controlling the speed, the probability of the machine breaking down can be set to any value "p".

Say that we want Pr(time until next breakdown > 21 days) = 95%. What value of "p" will just satisfy this requirement?

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